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Finding the Third Proportional to 30,013.50 and 55,743

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Solution

The third proportional to 30,013.50 and 55,743 is: 103,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.50 : 55,743 = 55,743 : x
  2. Step 2: Convert to fraction form
    30,013.50/55,743 = 55,743/x
  3. Step 3: Cross multiply
    30,013.50x = 55,743 × 55,743
  4. Step 4: Simplify right side
    30,013.50x = 3,107,282,049
  5. Step 5: Solve for x
    x = 3,107,282,049/30,013.50
  6. Step 6: Final answer
    x = 103,529.48

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.